Sabina Johansson was charged with promoting prostitution at Big Daddy Lou's

Cops have busted a stunning 23-year-old Swedish model for allegedly working as the "house mom" at a high-end midtown brothel they say was run by a prominent lawyer.

Sabina Johansson of West New York, N.J., was charged with promoting prostitution at Big Daddy Lou's Hot Lap Dance Club, according to court records.

Johansson, who has appeared in an Avril Lavigne music video and on "The Tyra Banks Show," was arrested Thursday in the ongoing investigation of the W. 38 St. club owned by lawyer Lou (Daddy) Posner.

While Johansson has publicly denied knowing about the sex-for-sale activities going on in the private rooms of the club, cops allege she was wise to the tricks.

NYPD vice unit officers posing as patrons claim Johansson greeted them at the club in April and told them they could expect more than lap dances from the strippers if the price was right. "Defendant told [the undercover officer] that she was aware prostitution activity was going on at the club in its private rooms," court records contend.

One undercover officer claimed prostitution was blatant at the club. "On each occasion, he received offers from scantily clad female lap dancers working at the club to engage in sexual conduct, including intercourse, in exchange for money in the private rooms of the club," court records say.

Johansson, a brown-haired beauty who proudly boasts of her 34-24-34 frame on her modeling Web site, worked at Big Daddy Lou's from January 2007 until she quit just days before cops raided the club July 17.

As the house mom, Johansson allegedly collected nightly fees of up to $80 from the club's 120 dancers, scheduled shifts and rented out the private rooms and suites, prosecutors claim.

Johansson could not be reached Monday for comment and did not respond to an e-mail from the Daily News.

She was defended by her new boyfriend, Richard (Richie) Randazzo, a 44-year-old Park Ave. doorman who in June won $5 million in the "Set for Life" lottery. "She's fine, she's safe and that's all that matters," Randazzo told The News. "I believe she's a good girl, and her name is going to be cleared and everything is going to work out."

Randazzo of Gravesend, Brooklyn, insisted he didn't know of Johansson's employment at Big Lou's before he began dating her about three weeks ago. Despite her troubles, he claims meeting her is the best thing to happen to him since winning the lottery.

Johansson was charged with a third-degree felony and released on her own recognizance. So far, 22 people, including four dancers, have been pinched in the probe.

Posner and his wife, Betty, have been charged with promoting prostitution and money laundering. Prosecutors said Posner's club brought in at least $1 million in the past year. Two dancers told The News last week that Posner merely paid lip service to the "No Sex" signs posted around the club and that he would pressure employees for sex.

But Posner claimed he fined the dancers if he caught them having sex with customers. Posner denied any wrongdoing in an interview with The News, blasting prosecutors and cops for "making a mountain out of a molehill."

"I'm just flabbergasted," Posner said. "The Hot Lap Dance Club is one of the cleanest clubs around."

A grand jury is hearing evidence in the case and could indict Posner and others as early as next week.